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Finding the Fourth Proportional to 453.96, 622.17 and 448.20

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Solution

The fourth proportional to 453.96, 622.17 and 448.20 is: 614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.96 : 622.17 = 448.20 : x
  2. Step 2: Convert to fraction form
    453.96/622.17 = 448.20/x
  3. Step 3: Cross multiply
    453.96x = 622.17 × 448.20
  4. Step 4: Simplify right side
    453.96x = 278,856.59
  5. Step 5: Solve for x
    x = 278,856.59/453.96
  6. Step 6: Final answer
    x = 614.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.